Statements (23)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
random matrix
|
| gptkbp:application |
mathematical modeling of complex systems
modeling energy levels of heavy nuclei study of universality in eigenvalue statistics |
| gptkbp:defines |
random Hermitian or symmetric matrices with independent entries (up to symmetry)
|
| gptkbp:field |
gptkb:mathematics
mathematical physics random matrix theory |
| https://www.w3.org/2000/01/rdf-schema#label |
Wigner matrices
|
| gptkbp:introduced |
gptkb:Eugene_Wigner
|
| gptkbp:namedAfter |
gptkb:Eugene_Wigner
|
| gptkbp:property |
entries are independent and identically distributed (i.i.d.) up to symmetry
eigenvalue distribution follows Wigner semicircle law (in the limit) entries have finite variance entries have zero mean |
| gptkbp:relatedTo |
gptkb:Gaussian_Orthogonal_Ensemble
gptkb:Gaussian_Unitary_Ensemble random matrix theory |
| gptkbp:usedIn |
nuclear physics
quantum mechanics statistical physics |
| gptkbp:bfsParent |
gptkb:Wigner_semicircle_law
|
| gptkbp:bfsLayer |
7
|